480912768341 has 16 divisors (see below), whose sum is σ = 510081964848. Its totient is φ = 451842048000.

The previous prime is 480912768313. The next prime is 480912768431. The reversal of 480912768341 is 143867219084.

It can be written as a sum of positive squares in 8 ways, for example, as 94159377316 + 386753391025 = 306854^2 + 621895^2 .

It is a de Polignac number, because none of the positive numbers 2^k-480912768341 is a prime.

It is a super-3 number, since 3×480912768341³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480912768311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25928531 + ... + 25947071.

It is an arithmetic number, because the mean of its divisors is an integer number (31880122803).

Almost surely, 2^480912768341 is an apocalyptic number.

It is an amenable number.

480912768341 is a deficient number, since it is larger than the sum of its proper divisors (29169196507).

480912768341 is a wasteful number, since it uses less digits than its factorization.

480912768341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21112.

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 480912768341 in words is "four hundred eighty billion, nine hundred twelve million, seven hundred sixty-eight thousand, three hundred forty-one".